Set 11: Systems of Equations (Intermediate)

Choice B is correct. Choice B is the correct answer. Let $c$ = pounds of Colombian beans. Equation: $\frac{8(15) + 12 c}{15 + c} = 10$ Step 1: Multiply both sides by $(15 + c)$: $$$120+ 12 c = 10(15 + c)$120+ 12 c = 150 + 10 c$2c = 30c = 15$$ Solution: 15 pounds of Colombian beans Verification: \frac{8(15) + 12(15)}{15 + 15} = \frac{120 + 180}{30} = \frac{300}{30} = 10$ ✓ Strategic Tip: Average price = total value ÷ total weight. Other choices fail verification.